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Related papers: Vortex-lattice melting in two-dimensional supercon…

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The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $\lambda$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $\xi$ in units of…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

In this paper we describe a version of London Langevin molecular dynamics simulations that allows for investigations of the vortex lattice melting transition in the highly anisotropic high-temperature superconductor material…

Superconductivity · Physics 2009-11-11 Yadin Y. Goldschmidt

Precision measurements of the vortex phase diagram in single crystals of the layered superconductor Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ in oblique magnetic fields confirm the existence of a second phase transition, in addition to the…

Physical properties of the vortex solid phase formed in the second Landau level (2LL), which may be stabilized by strong paramagnetic pairbreaking (PPB), are examined in type II limit with no magnetic screening. First, it is shown that the…

Superconductivity · Physics 2025-04-28 Yuto Yokota , Dai Nakashima , Ryusuke Ikeda

We study the Ginzburg-Landau model with a nonlocal quartic term as a simple phenomenological model for superconductors in the presence of coupling between the vortex lattice and the underlying crystal lattice. In mean-field theory, our…

Superconductivity · Physics 2009-10-28 Joonhyun Yeo , M. A. Moore

The vortex lattice (VL) symmetry and orientation in clean type-II superconductors depends sensitively on the host material anisotropy, vortex density and temperature, frequently leading to rich phase diagrams. Typically, a well-ordered VL…

We quantitatively describe the competition between the thermal fluctuations and the disorder using the Ginzburg -- Landau approach. Flux line lattice in type II superconductors undergoes a transition into three "disordered" phases: vortex…

Superconductivity · Physics 2007-05-23 Dingping Li , Baruch Rosenstein

We set up a melting model for vortex lattices in high-temperature superconductors based on the continuum elasticity theory. The model is Gaussian and includes defect fluctuations by means of a discrete-valued vortex gauge field. We derive…

Superconductivity · Physics 2011-10-05 J. Dietel , H. Kleinert

The mixed phase of extremely type-II layered superconductors in perpendicular magnetic field is studied theoretically via the layered XY model with uniform frustration. A partial duality analysis is carried out in the weak-coupling limit.…

Superconductivity · Physics 2008-12-18 J. P. Rodriguez

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

We apply time-dependent Ginzburg Landau (TDGL) numerical simulations to study the finite frequency electrodynamics of superconductors subjected to intense rf magnetic field. Much recent TDGL work has focused on spatially uniform external…

Superconductivity · Physics 2020-03-23 Bakhrom Oripov , Steven Anlage

Here we describe a development of computer algorithm to simulate the Time Dependent Ginzburg-Landau equation (TDGL) and its application to understand superconducting vortex dynamics in confined geometries. Our initial motivation to get…

Superconductivity · Physics 2020-05-20 Antonio Lara , César González-Ruano , Farkhad G. Aliev

In a single-component Ginzburg-Landau model which possesses thermodynamically stable vortex excitations, the zero-field superconducting phase transition is second order even when fluctuations are included. Beyond the mean-field…

Superconductivity · Physics 2015-04-20 Hannes Meier , Egor Babaev , Mats Wallin

We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where superconductivity survives in the bulk of the material but…

Mathematical Physics · Physics 2025-08-18 M. Correggi , A. Kachmar

We have simulated the thermodynamics of vortices in a thin film of a type-II superconductor. We make the lowest Landau level approximation, and use quasi-periodic boundary conditions. Our work is consistent with the results of previous…

Superconductivity · Physics 2013-08-28 Niels R. Walet , M. A. Moore

Superconductivity remains one of most fascinating quantum phenomena existing on a macroscopic scale. Its rich phenomenology is usually described by the Ginzburg-Landau (GL) theory in terms of the order parameter, representing the…

Superconductivity · Physics 2023-03-28 M. C. Diamantini , C. A. Trugenberger , Sheng-Zong Chen , Yu-Jung Lu , Chi-Te Liang , V. M. Vinokur

We carry out Monte Carlo simulations of the uniformly frustrated 3d XY model as a model for vortex line fluctuations in a high Tc superconductor. A density of vortex lines of f=1/25 is considered. We find two sharp phase transitions. The…

Condensed Matter · Physics 2009-10-22 Ying-Hong Li , S. Teitel

The question of whether layer decoupling and vortex-lattice melting occur seperately or not in the mixed phase of pristine layered superconductors in the extreme type-II limit is studied through a partial duality analysis of the layered XY…

Superconductivity · Physics 2009-11-07 J. P. Rodriguez

The iron-based superconductors are characterized by strong fluctuations due to high transition temperatures and small coherence lengths. We investigate fluctuation behavior in the magnetic iron-pnictide superconductor…

Superconductivity · Physics 2019-09-18 A. E. Koshelev , K. Willa , R. Willa , M. Smylie , J. -K. Bao , D. Y. Chung , M. G. Kanatzidis , W. -K. Kwok , U. Welp

Measurements of non-local in-plane resistance originating from transverse vortex-vortex correlations have been performed on a Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta} high-T_c superconductor in a magnetic field up to 9 T applied along the crystal…

Superconductivity · Physics 2009-11-10 J. H. S. Torres , R. Ricardo da Silva , S. Moehlecke , Y. Kopelevich